
5- 1 1/3 - 1 1/3 2. 4-(1 2/9-5/9) 3. 1 1/2- 3/4+ 7/8 4. 2 5/6-1 1/3-1/2


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Ответ:
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Let's solve each of these expressions step by step:
5 - 1 1/3 - 1 1/3
First, subtract 1 1/3 from 5: 5 - 1 1/3 = 5 - (4/3) = (15/3) - (4/3) = 11/3
Now, subtract another 1 1/3 from the result: 11/3 - 1 1/3 = (11/3) - (4/3) = 7/3
So, the result is 7/3.
4 - (1 2/9 - 5/9)
First, subtract 5/9 from 1 2/9: 1 2/9 - 5/9 = (9/9 + 2/9) - (5/9) = (11/9) - (5/9) = 6/9
Now, subtract 6/9 from 4: 4 - 6/9 = (36/9) - (6/9) = 30/9
Simplify 30/9 by dividing both the numerator and denominator by their greatest common divisor (3): (30/3) / (9/3) = 10/3
So, the result is 10/3.
1 1/2 - 3/4 + 7/8
First, add 1 1/2 and 7/8: 1 1/2 + 7/8 = (3/2 + 7/8)
To add these fractions, we need a common denominator. The least common multiple of 2 and 8 is 8. So, convert 3/2 to have a denominator of 8: (3/2) * (4/4) = 12/8
Now, add the fractions with a common denominator: (12/8) + (7/8) = (12 + 7) / 8 = 19/8
Next, subtract 3/4 from the result: (19/8) - (3/4)
To subtract these fractions, we also need a common denominator. The least common multiple of 8 and 4 is 8. So, convert 3/4 to have a denominator of 8: (3/4) * (2/2) = 6/8
Now, subtract the fractions with a common denominator: (19/8) - (6/8) = (19 - 6) / 8 = 13/8
So, the result is 13/8.
2 5/6 - 1 1/3 - 1/2
First, add 2 5/6 and 1 1/3: 2 5/6 + 1 1/3 = (17/6 + 4/3)
To add these fractions, we need a common denominator. The least common multiple of 6 and 3 is 6. So, convert 17/6 to have a denominator of 6: (17/6) * (1/1) = 17/6
Now, add the fractions with a common denominator: (17/6) + (4/3) = (17/6) + (8/6) = (17 + 8) / 6 = 25/6
Finally, subtract 1/2 from the result: (25/6) - (1/2)
To subtract these fractions, we also need a common denominator. The least common multiple of 6 and 2 is 6. So, convert 1/2 to have a denominator of 6: (1/2) * (3/3) = 3/6
Now, subtract the fractions with a common denominator: (25/6) - (3/6) = (25 - 3) / 6 = 22/6
Simplify 22/6 by dividing both the numerator and denominator by their greatest common divisor (2): (22/2) / (6/2) = 11/3
So, the result is 11/3.


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